What is the Greatest Common Factor of 36267 and 36275?

Greatest common factor (GCF) of 36267 and 36275 is 1.

GCF(36267,36275) = 1

We will now calculate the prime factors of 36267 and 36275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36267 and 36275.

How to find the GCF of 36267 and 36275?

We will first find the prime factorization of 36267 and 36275. After we will calculate the factors of 36267 and 36275 and find the biggest common factor number .

Step-1: Prime Factorization of 36267

Prime factors of 36267 are 3, 7, 11, 157. Prime factorization of 36267 in exponential form is:

36267 = 3¹ × 7¹ × 11¹ × 157¹

Step-2: Prime Factorization of 36275

Prime factors of 36275 are 5, 1451. Prime factorization of 36275 in exponential form is:

36275 = 5² × 1451¹

Step-3: Factors of 36267

List of positive integer factors of 36267 that divides 36267 without a remainder.

1, 3, 7, 11, 21, 33, 77, 157, 231, 471, 1099, 1727, 3297, 5181, 12089

Step-4: Factors of 36275

List of positive integer factors of 36275 that divides 36267 without a remainder.

1, 5, 25, 1451, 7255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36267 and 36275. The biggest common factor number is the GCF number.
So the greatest common factor 36267 and 36275 is 1.

Also check out the Least Common Multiple of 36267 and 36275